We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 30.6 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 31.1words per minute and a standard deviation of 2.8 words per minute. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 2.7.           The sample has size 20, and it is from a normally distributed population with an unknown standard deviation.

According to the College Board, scores on the math section of the SAT Reasoning college entrance test for the class of 2010 had a mean of 516 and a standard deviation of 116. Assume that they are roughly normal.One of the quartiles of the scores from the math section of the SAT Reasoning test is 438. The other quartile is _______.

The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…

A recent report claims that Americans spend an average of $11 per day on lunch. You believe that people who live in Philadelphia, PA spend significantly less on lunch per day than that. In order to test this, you randomly sampled n=100 Philadelphia residents and asked them how much they spend on lunch everyday. The sample average of these respondents was $10.92 with a sample standard deviation of $1.07. If you want to test the null hypothesis that H0: mean=11 vs Ha: mean <11.what is the value of the test statistic?